GCF of 4032/567, 8380/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4032/567, 8380/109 i.e 4/61803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4032/567, 8380/109.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4032/567,8380/109?
Given fractions are 4032/567,8380/109
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4032/567,8380/109, numerators are 4032,8380
Denominators are 567,109
The GCF of 4032,8380 is 4 .
LCM of 567,109 is 61803.
The greatest common factor of 4032/567,8380/109 = [GCF of 4032,8380]/[LCM of 567,109]= 4/61803
Therefore, the GCF of 4032/567,8380/109 is 4/61803.
To find the highest common factor of 4032,8380, we have to find the factors of both numbers and list the highest common factor.
The factors of 4032 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032
The factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380
The HCF of 4032,8380 is 4.
Lets's calculate GCF of 4032,8380
| 2 | 4032, 8380 |
| 2 | 2016, 4190 |
| 1008, 2095 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4032,8380 By Matching Biggest Common Factor Method
Now, list down the factors of 4032
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032
Now, list down the factors of 8380
:1,2,4,5,10,20,419,838,1676,2095,4190,8380
Greatest Common Factor
We found the factors 4032,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 4032,8380 is 4.
Lets's calculate LCM of 567,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 61803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61803
Therefore, the GCF of Fractions 4032/567,8380/109 is 4/61803
Least Common Multiple of 567,109 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 567,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,109) x common factors =1 x 1 = 1
LCM(567,109) = ( 567 × 109 ) / 1
LCM(567,109) = 61803 / 1
LCM(567,109) = 61803
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FAQs on GCF of Fractions of 4032/567, 8380/109
1. What is the HCF of 4032,8380?
The HCF of 4032,8380 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4032/567, 8380/109?
Answer: GCF of Numerators as per given numbers 4032/567, 8380/109 is
GCF of Numerators i.e. for 4032,8380 is 4
LCM of denominators i.e. for 567,109 is 61803.
Thus, GCF of Fractions is 4/61803.Finally, GCF of Fractions for 4032/567, 8380/109 is 4/61803.